Elle is 6 years younger than Felicia. Marta is twice as old as Felicia. If Marta is w years old,
a) find the age difference between Marta and Elle.
b) write an expression that shows the three girls' average age.
Show how you found the answers.
Lol are you using a homeschooling program?
hahah ya its called calvert it sucks tho its so hard smh
Marta is twice as old as Felicia ... M = 2 F ... F = M / 2
M = w
Elle is 6 years younger than Felicia ... E = F - 6 = (w / 2) - 6
a) w - [(w / 2) - 6] = (w / 2) + 6
b) {w + (w / 2) + [(w / 2) - 6]} / 3 = (2 w - 6) / 3
To find the age difference between Marta and Elle, we first need to determine the ages of Elle and Felicia in terms of Marta's age.
Given that Elle is 6 years younger than Felicia, we can write the equation:
Felicia's age = Elle's age + 6
Since Marta is twice as old as Felicia, we can write another equation:
Marta's age = 2 * Felicia's age
We are given that Marta's age is w.
Using these equations, we can find the ages of Felicia and Elle in terms of w:
Felicia's age = Elle's age + 6
Felicia's age = (Marta's age / 2) + 6
Felicia's age = w/2 + 6
To find Elle's age, we substitute the value of Felicia's age in terms of w into the equation:
Felicia's age = Elle's age + 6
(w/2) + 6 = Elle's age + 6
(w/2) = Elle's age
Therefore, Elle's age is (w/2).
a) The age difference between Marta and Elle is given by subtracting Elle's age from Marta's age:
Age difference = Marta's age - Elle's age
Age difference = w - (w/2)
Age difference = (2w - w)/2
Age difference = w/2
The age difference between Marta and Elle is w/2.
b) The expression that shows the average age of the three girls is given by adding the ages of Marta, Elle, and Felicia and dividing by 3:
Average age = (Marta's age + Elle's age + Felicia's age) / 3
Plugging in the values:
Average age = (w + (w/2) + (w/2 + 6)) / 3
Average age = (w + w + (w + 12)) / 6
Average age = (3w + 12) / 6
Average age = (w/2) + 4
Therefore, an expression that shows the three girls' average age is (w/2) + 4.